Solve au_a²u əx² Ət __U(x,0) = = " 0 0, subject to the conditions U(0,t) = U(6,t) = 0, Interpret physically. 1 if 0

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A: Definition used -            Chain rule of derivative -                             ddx(f(g(x))=…

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A: Derivative two times simultaneously and use the forma for derivative

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A: given a differential equation,here need to solve this differential equation by seperation of the…

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Q: the answer that was given was y(t)=Ce^-t + Dte^-t +3t^2e^-t but its wrong I'm looking for the error…

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Q: What is the derivative 7 of y = (3x + 1)²? 21 dx dy = 6 (3x + 1)²¹ dx = dy 6 (3x + 1)² dx = 7 (3x +…

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Q: Use a suitable method  to find the solution of (1-x^2)(1-y)dx=xy(1+y)dy

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Q: What is general solution of v = ds/dt if v = 2/t^3/2? a.-4/t^1/2 = s^2 + c b.-4/t^1/2 = s + c^2…

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Q: Investigate the stationary values of f(x, y)=x^4+4x^2y^2-2x^2+2y^2-1

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Q: 1. Find the directional derivative of the scalar function f = yzx^2 + 4xz^2 at the point P(1,-2,-1)…

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Q: and d^2y/dx^2 for

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Q: Show that the functions y1= e^t,  y2 = e^-t, and te^-t are linearly independent.

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Q: Solve Uxx = utt u(x, 0) = 0, "+ (x, 0) = x² '

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Q: Find a function whose graph passes through the point (1,2/e) and satisfies x^2y'=y.

A: Given differential equation     x2y'=y   and initial condition  at x=1,y=2/e

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Q: dy + ydx %3D = 3x²y?dx,

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Q: 6. 2 I (ve**)dx dy у /2

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